if sn = (3n²-4n) , then find the nth term
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Sn = ( 3n^2 -4n)
S1 = (3*1^2 - 4*1) = -1
a= -1
S2 = (3*2^2 -4*2) = 4
a2= S2-S1 = 4-(-1) = 5
d= a2-a1 = 5-(-1) = 6
d = 6
an = a +(n - 1 )d
= -1 +(n -1 )6
= -1 + 6n -6
= 6n -7
hence, the nth term is 6n -7.
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